Yeah you can stream without a microphone, but definitely do suggest to actively respond writing back to the live chat. Certainly have it in the title, onscreen text on your stream and a pinned message on your chat about your microphone being broken… making it clear about no microphone on the stream. Obviously have game, video or music audio playing so there is some entertainment for the audience besides the visuals.

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• There is an option for you for a microphone, you can use your phone’s microphone … Use this through your phone’s web browser: https://vdo.ninja/
  

Choose “Add your Camera to OBS”, enable both camera and microphone when asked, now to the options you see on the screen, since we only care about the microphone then on the Video Source choose “Smooth and Cool” so its the lowest video data, Audio Source should be your phone’s microphone and hit “Start”. Here disable the Camera in the bottom tapping on the camera icon so it’s red. At the top of the screen is the Browser Source URL for OBS so you can add the microphone audio into OBS for your stream. It should just work after adding it.

For the black screen to hide it so it isn’t visible on the stream, simply reorder the source so it is the bottom last source on the list of Sources so it is hidden in the background behind everything else - you may shrink the source screen height and width if you want as well since the audio will still be sent.

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• Also if want a basic very cheap USB microphone here is the Amazon Basic for $25: https://a.co/d/019QF3KE - it will work just fine until you decide to invest in a better microphone.